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Finding the Fourth Proportional to 492,847.14, 680,071.95 and 277,990.83

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Solution

The fourth proportional to 492,847.14, 680,071.95 and 277,990.83 is: 383,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,847.14 : 680,071.95 = 277,990.83 : x
  2. Step 2: Convert to fraction form
    492,847.14/680,071.95 = 277,990.83/x
  3. Step 3: Cross multiply
    492,847.14x = 680,071.95 × 277,990.83
  4. Step 4: Simplify right side
    492,847.14x = 189,053,765,840.22
  5. Step 5: Solve for x
    x = 189,053,765,840.22/492,847.14
  6. Step 6: Final answer
    x = 383,595.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.